Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 104 > pp. 49-67


By D. Franceschini

Full Article PDF (342 KB)

Microwave inverse scattering approaches have shown their effectiveness in imaging inaccessible regions. Unfortunately, the problem at hand is strongly non-linear and ill-posed and therefore it is often solved by seeking for the global minimum of a proper functional. Nevertheless, it is also necessary to introduce suitable regularizations in order to improve the convergence of the reconstruction process toward a reliable solution. In this context, the paper presents a method that exploits an energetic constraint to define a regularization term of the cost functional. A numerical validation with single and multiple inhomogeneous lossless targets demonstrates that an improvement of the reconstruction accuracy is achievable without introducing significant computational complexity to the inverse scattering problem.

D. Franceschini, "Numerical investigation of an energetic constraint for inverse scattering problems," Progress In Electromagnetics Research, Vol. 104, 49-67, 2010.

1. Bolomey, J. C., Frontiers in Industrial Process Tomography, Engineering Foundation, New York, 1995.

2. Benedetti, M., M. Donelli, and A. Massa, "Multicrack detection in two-dimensional structures by means of GA-based strategies," IEEE Trans. Antennas Propagat., Vol. 55, 205-215, Jan. 2007.

3. Kharkovsky, S. and R. Zoughi, "Microwave and millimeter wave nondestructive testing and evaluation --- Overview and recent advances," IEEE Instrum. and Meas. Mag., Vol. 10, 26-38, Apr. 2007.

4. Meaney, P. M, M. W. Fanning, L. Dun, S. P. Poplack, and K. D. Paulsen, "A clinical prototype for active microwave imaging of the breast ," IEEE Trans. Microwave Theory Tech., Vol. 48, 1841-1853, Nov. 2000.

5. O'Halloran, M., R. Conceicao, D. Byrne, M. Glavin, and E. Jones, "FDTD modeling of the breast: A review," Progress In Electromagnetics Research B, Vol. 18, 1-24, 2009.

6. Lazaro, A., D. Girbau, and R. Villarino, "Simulated and experimental investigation of microwave imaging using UWB," Progress In Electromagnetic Research, Vol. 94, 263-280, 2009.

7. Cui, T. J., W. C. Chew, A. A. Aydiner, and S. Chen, "Inverse scattering of two-dimensional dielectric objects buried in a lossy earth using the distorted Born iterative method," IEEE Trans. Geosci. Remote Sensing, Vol. 39, 339-346, Feb. 2001.

8. Bermani, E., A. Boni, S. Caorsi, and A. Massa, "An innovative real-time technique for buried object detection," IEEE Trans. Geosci. Remote Sensing, Vol. 41, 927-931, 2003.

9. Crocco, L., M. D'Urso, and T. Isernia, "The contrast source-extended Born model for 2D subsurface scattering problems," Progress In Electromagnetics Research B, Vol. 17, 343-359, 2009.

10. Catapano, I., L. Crocco, R. Persico, M. Pieraccini, and F. Soldovieri, "Linear and nonlinear microwave tomography approaches for subsurface prospecting: Validation on real data," IEEE Antennas Wireless Propag. Lett., Vol. 5, 49-53, Dec. 2006.

11. Zhang, Z. Q. and Q. H. Liu, "Applications of the BiCGS-FFT method to 3-D induction well logging problems," IEEE Geosci. Remote Sensing, Vol. 41, 856-869, May 2003.

12. Caorsi, S., A. Massa, M. Pastorino, and M. Donelli, "Improved microwave imaging procedure for nondestructive evaluations of two-dimensional structures," IEEE Trans. Antennas Propagat., Vol. 52, 1386-1397, 2004.

13. Yu, Y., T. Yu, and L. Carin, "Three-dimensional inverse scattering of a dielectric target embedded in a lossy half-space," IEEE Trans. Geosci. Remote Sensing, Vol. 42, 957-973, May 2004.

14. Li, F., Q. H. Liu, and L.-P. Song, "Three dimensional reconstruction of objects buried in layered media using Born and distorted Born iterative methods," IEEE Trans. Geosci. Remote Sensing, Vol. 1, 107-111, Apr. 2004.

15. Franceschini, G., A. Abubakar, T. M. Habashy, and A. Massa, "A comparative assessment among iterative linear solvers dealing with electromagnetic integral equations in 3D inhomogeneous anisotropic media," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 7, 899-914, 2007.

16. Colton, D. and R. Krees, Inverse Acoustics and Electromagnetic Scattering Theory, Springer-Verlag, Berlin, Germany, 1992.

17. Bucci, O. M. and T. Isernia, "Electromagnetic inverse scattering: Retrievable information and measurement strategies," Radio. Sci., Vol. 32, 2123-2138, Dec. 1997.

18. Bucci, O. M., L. Crocco, T. Isernia, and V. Pascazio, "Subsurface inverse scattering problems: Quantifying, qualifying and achieving the available information ," IEEE Trans. Geosci. Remote Sensing, Vol. 39, 2527-2537, Nov. 2001.

19. Litman, A., "Reconstruction by level sets of N-ary scattering obstacles ," Inv. Probl., Vol. 21, S131-S152, Dec. 2005.

20. Dorn, O. and D. Lesselier, "Level set methods for inverse scattering," Inv. Probl., Vol. 22, R67-R131, Aug. 2006.

21. Aramini, R., M. Brignone, and M. Piana, "The linear sampling method without sampling," Inv. Probl., Vol. 22, 2237-2254, Dec. 2006.

22. Rekanos, I. T., "Shape reconstruction of a perfectly conducting scatterer using diĀ®erential evolution and particle swarm optimization," IEEE Trans. Geosci. Remote Sensing, Vol. 46, 1967-1974, 1974.

23. Kleinman , R. E. and P. M. van den Berg, "A modified gradient method for two-dimensional problems in tomography," J. Comput. Appl. Math., Vol. 42, 17-35, 1992.

24. Van den Berg, P. M. and A. Abubakar, "Contrast source inversion method: State of the art," Progress In Electromagnetics Research, Vol. 34, 189-218, 2001.

25. Rocca, P., M. Benedetti, M. Donelli, D. Franceschini, and A. Massa, "Evolutionary optimization as applied to inverse scattering problems," Inv. Probl., Vol. 25, No. 12, Article No. 123003, Dec. 2009.

26. Garnero, L., A. Franchois, J.-P. Hugonin, C. Pichot, and N. Joachimowicz, "Microwave imaging-complex permittivity reconstruction by simulated annealing," IEEE Trans. Microwave Theory Tech., Vol. 39, 1801-1807, Nov. 1991.

27. Caorsi, S., A. Massa, and M. Pastorino, "A computational technique based on a real-coded genetic algorithm for microwave imaging purposes," IEEE Trans. Geosci. Remote Sensing, Vol. 38, 1697-1708, Jul. 2000.

28. Caorsi, S., A. Massa, M. Pastorino, and A. Randazzo, "Electromagnetic detection of dielectric scatterers using phaseless synthetic and real data and the memetic algorithm," EEE Trans. Geosci. Remote Sensing, Vol. 41, 2745-2753, 2003.

29. Caorsi, S., M. Donelli, A. Lommi, and A. Massa, "Location and imaging of two-dimensional scatterers by using a particle swarm algorithm ," Journal of Electromagnetic Waves and Applications, Vol. 18, 481-494, 2004.

30. Donelli, M. and A. Massa, "Computational approach based on a particle swarm optimizer for microwave imaging of two-dimensional dielectric scatterers," IEEE Trans. Microwave Theory Tech., Vol. 53, 1761-1776, May 2005.

31. Donelli, M., G. Franceschini, A. Martini, A. Massa, and , "An integrated multiscaling strategy based on a particle swarm algorithm for inverse scattering problems," IEEE Trans. Geosci. Remote Sensing, Vol. 44, 298-312, 2006.

32. Huang, T. and A. S. Mohan, "A microparticle swarm optimizer for the reconstruction of microwave images," IEEE Trans. Antennas Propagat., Vol. 55, 568-576, Mar. 2007.

33. Crocco, L. and T. Isernia, "Inverse scattering with real data: Detecting and imaging homogeneous dielectric objects," Inv. Probl., Vol. 17, 1573-1583, Dec. 2001.

34. Abubakar, A., P. M. van den Berg, and S. Y. Semenov, "Two- and three-dimensional algorithms for microwave imaging and inverse scattering," Journal of Electromagnetic Waves and Applications, Vol. 17, No. 2, 209-231, Feb. 2003.

35. Jones, D. S., The Theory of Electromagnetism, Pergamon Press, Oxford, U.K., 1964.

36. Franceschetti, G., Elctromagnetics: Theory, Techniques, and Engineering Paradigms, Plenum Press, New York, London, 1997.

37. Richmond, J. H., "Scattering by a dielectric cylinder of arbitrary cross section shape," IEEE Trans. Antennas Propagat., Vol. 13, 334-341, May 1965.

38. Burden, R. L. and J. D. Faires, Numerical Analysis, Brooks-Cole, Pacific Grove, CA, 2001.

© Copyright 2014 EMW Publishing. All Rights Reserved